Publication:
On nuclear effects in proton decay

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Publication Date
1982-07-01
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Sánchez Gómez, J. L.
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Amer Physical Soc
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Abstract
A previous work about inclusive proton decay in a nucleus is critically analyzed. Explicit new calculations are carried out in the deuteron, which turn out to be consistent with previous evaluations by other authors. By relating the inclusive decay rate to the proton Green s function and self-energy in a nucleus, it is shown that it is proportional to A for large enough nuclei. That is, the lifetime per nucleon is an intensive quantity (depending on the nuclear density). Finally, some relationships between inclusive proton decay and one-proton transfer reactions in nuclei are suggested.
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© American Physical Society (APS). We thank Professor F. J. Yndurain for some useful comments and Mr. L. A. Fernandez Perez for discussions and some help with numerical computations. We are also indebted to the Comision. Asesora de Investigacion Cientifica (Spain) for partial financial support.
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1 J. M. F. de Labastida and F. J. Yndurain, Phys. Rev. Lett. 47, 110 (1981). 2 C. B. Dover, M. Goldhaber, T. L. Trueman, and Ling-Lie Chau, Phys. Rev. D 24, 2886 (1981). 3 P. Langacker, Phys. Rep. 72, 185 (1981). 4 D. A. Sparrow, Phys. Rev. Lett. 44, 625 (1980). 5 M. M. Nagels et al. , Nucl. Phys. 8147, 189 (1979). 6 C. A. Dominguez, Phys. Rev. C 24, 2611 (1981). 7 A. W. Thomas, S. Theberge, and G. A. Miller, Phys. Rev. D 24, 216 (1981) and references therein. 8 A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971). 9 V. M. Galitskii and A. B. Migdal, Zh. Eksp. Teor. Fiz. 34, 139 (1958) [Sov. Phys. JETP 7, 96 (1958)]. 10 M. B. Gavela et al. , Phys. Rev. D 23, 1580 (1981). 11 D. F. Jackson, in Aduances in nuclear Physics, edited by M. Baranger and E. Vogt (Plenum, New York, 1971), Vol. 4, pp. 1—60.
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